Let X be a normal projective variety of dimension n and G an abelian group of automorphisms such that all elements of $G\setminus \{\operatorname {id}\}$ are of positive entropy. Dinh and Sibony showed that G is actually free abelian of rank $\le n - 1$ . The maximal rank case has been well understood by De-Qi Zhang. We aim to characterize the pair $(X, G)$ such that $\operatorname {rank} G = n - 2$ .

中文翻译：

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正常射影变体上的自由阿贝尔群作用：次极大动态秩案例

让X是一个正常的射影各种尺寸的Ñ和ģ构的阿贝尔群，使得所有元素 $ G \ setminus \ {\ operatorname {ID} \} $ 是正熵的。Dinh 和 Sibony 证明G实际上是 $\le n - 1$ 阶的自由阿贝尔量 。张德奇已经很好地理解了最大秩的情况。我们的目标是表征 $(X, G)$ 对 ，使得 $\operatorname {rank} G = n - 2$ 。